Approximation of Optimized Fuzzy Logic Controller for Shunt Active Power Filter - Complex System Modelling and Control Through Intelligent Soft Computations - page 579

Fig. 17 Comparison of
control actions of 4-rule FLC
and 49-rule FLC with
Gaussian MFs

1

4-rule FLC with Gaussian MFs
49-rule FLC with Gaussian MFs

0.5

0

-0.5

-1

-1 -0.5 0 0.5 1

Error (e)

Fig. 18 Comparison of
control actions of 4-rule
approximated FLC and
49-rule FLC with Gaussian
MFs

1

49-rule FLC
4-rule approximated FLC

0.5

0

-0.5

-1

-1 -0.5 0 0.5 1

Error (e)

2748u 1 ð 8078u 1 ð

u 2 ð t Þ ¼ 61 t Þþ 60 t Þ

: :

ð 8 Þ

4164u 1 ð 21 t Þþ 4 2446u 1 ð t Þ

: :

The comparison of control actions of 49-rule FLC and approximated 4-rule FLC
using Gaussian MFs is depicted in Fig. 18 .
The control performance of approximated 4-rule FLC is almost overlapping with
the control performance of 49-rule FLC, thereby minimizing the deviation and
leading to effective approximation.
The dynamic response with the proposed approximated 4-rule FLC, for the three
different cases considered here, is presented in Fig. 19 , and its quanti ed analysis is

shown in Table 5 . The results, in terms of peak overshoot /undershoot and settling